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Simplifying 19k + -18 = 12 + k + 16k Reorder the terms: -18 + 19k = 12 + k + 16k Combine like terms: k + 16k = 17k -18 + 19k = 12 + 17k Solving -18 + 19k = 12 + 17k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17k' to each side of the equation. -18 + 19k + -17k = 12 + 17k + -17k Combine like terms: 19k + -17k = 2k -18 + 2k = 12 + 17k + -17k Combine like terms: 17k + -17k = 0 -18 + 2k = 12 + 0 -18 + 2k = 12 Add '18' to each side of the equation. -18 + 18 + 2k = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 2k = 12 + 18 2k = 12 + 18 Combine like terms: 12 + 18 = 30 2k = 30 Divide each side by '2'. k = 15 Simplifying k = 15
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